Search a number
-
+
120031200 = 2533525557
BaseRepresentation
bin1110010011110…
…00011111100000
322100212012212000
413021320133200
5221211444300
615524404000
72655151122
oct711703740
9270765760
10120031200
1161833243
1234246600
131bb381a3
1411d27212
15a80ec00
hex72787e0

120031200 has 144 divisors (see below), whose sum is σ = 434190960. Its totient is φ = 32002560.

The previous prime is 120031187. The next prime is 120031201. The reversal of 120031200 is 2130021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18822 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (3015215).

Almost surely, 2120031200 is an apocalyptic number.

120031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217095480).

120031200 is an abundant number, since it is smaller than the sum of its proper divisors (314159760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120031200 is a wasteful number, since it uses less digits than its factorization.

120031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120031200 is about 10955.8751361998. The cubic root of 120031200 is about 493.2851588378.

Adding to 120031200 its reverse (2130021), we get a palindrome (122161221).

It can be divided in two parts, 12003 and 1200, that added together give a triangular number (13203 = T162).

The spelling of 120031200 in words is "one hundred twenty million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 5557 7200 10800 11114 16671 21600 22228 27785 33342 44456 50013 55570 66684 83355 88912 100026 111140 133368 138925 150039 166710 177824 200052 222280 250065 266736 277850 300078 333420 400104 416775 444560 500130 533472 555700 600156 666840 750195 800208 833550 889120 1000260 1111400 1200312 1250325 1333680 1500390 1600416 1667100 2000520 2222800 2400624 2500650 2667360 3000780 3334200 3750975 4001040 4445600 4801248 5001300 6001560 6668400 7501950 8002080 10002600 12003120 13336800 15003900 20005200 24006240 30007800 40010400 60015600 120031200